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Finding the Fourth Proportional to 642.56, 886.24 and 487.04

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Solution

The fourth proportional to 642.56, 886.24 and 487.04 is: 671.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.56 : 886.24 = 487.04 : x
  2. Step 2: Convert to fraction form
    642.56/886.24 = 487.04/x
  3. Step 3: Cross multiply
    642.56x = 886.24 × 487.04
  4. Step 4: Simplify right side
    642.56x = 431,634.33
  5. Step 5: Solve for x
    x = 431,634.33/642.56
  6. Step 6: Final answer
    x = 671.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.